Final answer:
To estimate the uncertainty of the speed of an ejected electron, you can use the Heisenberg uncertainty principle. This principle relates the uncertainty in position and momentum of the electron, allowing you to calculate the minimum uncertainty in momentum. From there, you can determine the uncertainty in the speed of the electron.
Step-by-step explanation:
The uncertainty of the speed of an ejected electron can be estimated using the Heisenberg uncertainty principle. The principle states that the product of the uncertainty in position and the uncertainty in momentum is always greater than or equal to a constant value. Mathematically, this can be expressed as ΔxΔp ~ h, where Δx represents the uncertainty in position and Δp represents the uncertainty in momentum. For example, if we know the position of an electron with an uncertainty of 1 pm (10^-12 m), then the uncertainty in its momentum must be at least (1.055 × 10^-34 kg m²/s) / (2 x 10^-12 m), which gives us a minimum uncertainty in momentum. Therefore, to estimate the uncertainty of the speed of an ejected electron, we need to first determine the uncertainty in its momentum and then use it to calculate the uncertainty in its speed.